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There IS no inequality in the question!

Q: Is -4 the solution of the inequality x - 4?

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There can be no solution since there is no equation (nor inequality) in the question.

No, because x-6 is an expression: it is not an inequality.

The solution to an inequality generally is a region with one more dimension. If the inequality/equation is of the form x < a or x = a then the solution to the inequality is the 1 dimensional line segment while the solution to the equality is a point which has no dimensions. If the inequality/equation is in 2 dimensions, the solution to the inequality is an area whereas the solution to the equality is a 1-d line or curve. And so on, in higher dimensional spaces.

Yes, It is a solution (a+)

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There can be no answer because there is no inequality in the question.

Yes

if x2 ≠ 16, then: {x | x ∈ ℜ, x ∉ (4, -4)}

A number is called a "solution" for an inequality if, when you plug that number into the variable, the inequality becomes true. For example, 4 is a solution to the inequality "x + 5 < 10", because when you plug in 4 for x, you get "4 + 5 < 10", which is true. (4 plus 5 is 9, which is less than 10.) On the other hand, 6 is not a solution to the inequality "x + 5 < 10", because when you plug in 6 for x, you get "6 + 5 < 10", which is false. (6 plus 5 is 11, which isn't less than 10.)

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There can be no solution since there is no equation (nor inequality) in the question.

x^4 is not an inequality. (An inequality has a "bigger than or equal to/less than or equal to/less than/bigger than" sign involved. I.e not an "equals" sign, since this would be an "equality"). But x^4 is not an equality, nor an inequality.

4

6

Solve the inequality and enter your solution as an inequality comparing the variable to the solution. -33+x<-33

No, because x-6 is an expression: it is not an inequality.

The solution to an inequality generally is a region with one more dimension. If the inequality/equation is of the form x < a or x = a then the solution to the inequality is the 1 dimensional line segment while the solution to the equality is a point which has no dimensions. If the inequality/equation is in 2 dimensions, the solution to the inequality is an area whereas the solution to the equality is a 1-d line or curve. And so on, in higher dimensional spaces.